Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792j |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
24177926006784 = 211 · 36 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 11+ 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16760,-806544] |
[a1,a2,a3,a4,a6] |
j |
191013322822/8869743 |
j-invariant |
L |
5.0496043896088 |
L(r)(E,1)/r! |
Ω |
0.42080036686713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66792bh1 |
Quadratic twists by: -11 |